For a transverse wave travelling along a straight line, the distance between two peaks (crests) is 5 m, while the distance between one crest and one trough is 1.5 m. The possible wavelengths (in m) of the waves are :
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a
1, 2, 3, .....
b
12, 14, 16, .....
c
1, 3, 5, .....
d
11, 13, 15, .....
answer is D.
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Detailed Solution
Distance between crests =n λ=5So λ=5n m ........ 1Also distance between a crest and trough is given as 1.5 m ⇒ 2k−1λ2=1.5 So λ=32k−1 ....... 21, 2 satisfy, n2k−1=53=159=2515 ⇒ n∈5, 15, 25, .......So λ∈1, 13, 15 ,........